Area of Rectangle

The word “area” comes from the Latin word “area,” which means “an unoccupied patch of level ground.” The irregular derivation of the area as “a particular quantity of space confined within the set of the limits” comes from the origin. 

A rectangle is a quadrilateral with equal angles on all sides and equal and parallel opposite sides. There are uncountable rectangle objects in our environment. Every rectangular shape has two different dimensions: length and width. The length and the width of the rectangle are defined as the longer side and the shorter side, respectively. The rectangle shape and its attributes will be discussed in this article.

The area of a rectangle in a two-dimensional plane is defined as the area covered by the rectangle. A rectangle is a quadrilateral, a two-dimensional geometry with four sides and four vertices. The rectangle’s four angles are all right angles or equal to 90 degrees. The rectangle’s opposite sides are equal and parallel to each other. A parallelogram’s opposite sides are also equal and parallel to one another, but the angles are not equal to 90 degrees.

Area of rectangle: –

The territory occupied by a rectangle inside its four sides or limits is known as its area.

A rectangle’s area is determined by its sides. In general, the area of a rectangle is equal to the product of its length and width. The perimeter of a rectangle, on the other hand, is equal to the total of all of its four sides. As a result, the area of the rectangle is defined as the region enclosed by its perimeter. However, because all of the sides of a square are equal, the area of the square will be equal to the square of side-length.

Area of rectangle formula: –

The area of the rectangle is calculated by using a formula that is dependent on its length and breadth. By multiplying the width (or breadth) by the length of a rectangle, the area of a rectangle is computed in units. Only three-dimensional figures can have their lateral and total surface areas computed. Because the rectangle is a two-dimensional figure, we can’t calculate it. As a result, the perimeter and area of a rectangle are calculated as follows:

Area of rectangle: – length*width

Once the length and breadth of a rectangle are known, the area may be computed. The area of the rectangle can be calculated by multiplying its length and width.

How to calculate: –

A rectangle’s area is equal to its length multiplied by its breadth. 

To find the area of a rectangle, follow the steps mentioned below:

Step 1: – Take note of the length and width parameters from the provided information.

Step 2:- Calculate the product of the length and width values.

Step 3:- Write the answer in square units.

Ex:- Calculate the area of a rectangular ground whose length is 20 m and width is 30 m.

Ans:- In the given question we have the dimensions of the field i.e. length and width,

Length of the ground= 20m

Width of the ground = 30m

Area of the ground= length*width =20m * 30 m

= 600 m2

Area of rectangle using diagonal of rectangle: –

The diagonal of the rectangle is a straight line that connects the opposite vertices of the rectangle. In the rectangle, there are two diagonals, each of equal length. The Pythagoras theorem can be used to find the diagonal of a rectangle.

Let us denote the diagonal of the rectangle by d , length of the rectangle by l and the width of the rectangle by b.

Then by Pythagoras theorem, we have

(d2)=(l2)+(b2)

(l2)=(d2)-(b2)

l=√(d2)-(b2)

Area of rectangle = l*b

=√(d2)-(b2)*b

(b2)=(d2)-(l2)

B=√(d2)-(l2)

Area of rectangle = l*b

=l*√(d2)-(l2)

Application: –

The employment of geometric shapes with lengths, angles, and areas for construction and astronomy is mentioned in early Babylonian culture records. Egyptians were able to build massive structures like pyramids thanks to their understanding of stone cutting in fundamental shapes like triangles, squares, and rectangles, as well as area and perimeter concepts. These notions are useful in modern mathematics for map construction, land surveying, object modeling, and other applications. 

Area applications can be seen in everyday life, such as determining the floor area of a house, the area of a sidewalk that will circle the ground, and the area of a park that will be fenced with wire, among other things.

Conclusion: –

The number of unit squares that can fit into any shape is its area. The term “unit” refers to one, and a unit square is a square having one 1 unit of side. As a result, the area of a rectangle is equal to the number of unit squares within the rectangle’s edge. The area of a rectangle, on the other hand, is the space occupied within the rectangle’s perimeter. The unit length tiles in your home are a good illustration of a rectangle form.

The total number of unit squares that can be fit into a rectangle is called its area. The flat surfaces of laptop monitors, blackboards, painting canvas, and other rectangular shapes are examples.